1. The problem is to find the area of a triangle with a base of 9 cm and a height of 5 cm. 2. The formula for the area of a triangle is given by: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. Substitute the given values into the formula: $$\text{Area} = \frac{1}{2} \times 9 \times 5$$ 4. Calculate the product inside the formula: $$\frac{1}{2} \times 45 = 22.5$$ 5. Therefore, the area of the triangle is: $$22.5 \text{ cm}^2$$